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sidratul1:
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Answer:
Weight of Box A = 14.50 kg
Step-by-step explanation:
So, first lets make an equation,
Weight of Box A - Box B = 2.50 kg
Weight of Box C - Box B = 10.25 kg
Also, Box A+ Box B+ Box C = 48.75 kg
To find: Weight of Box A
Solution:
A-B = 2.50 kg
A = 2.50 + B _____(1)
Also, C-B = 10.25kg
So, B = C - 10.25 kg _______(2)
A+B+C= 48.75
On substituting (1) and (2)
2.50 + C - 10.25 + C - 10.25 + C = 48.75
3C - 18 = 48.75
3C = 48.75 + 18 = 66.75
C = 66.75 / 3 = 22.25kg ____ (4)
Now, on substituting (4) in (2)
B = 22.25 - 10.25 = 12kg _____(5)
On substituting (5) in (1)
A = 2.50 + 12 = 14.50kg
∴ Weight of Box A is 14.50 kg
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